Bound states in continuum of complex potentials generated by supersymmetric quantum mechanics

被引：19
作者：
Petrovic, JS
Milanovic, V
Ikonic, Z
机构：
[1] Univ Belgrade, Fac Elect Engn, YU-11120 Belgrade, Yugoslavia
[2] Univ Leeds, Sch Elect & Elect Engn, Leeds LS2 9JT, W Yorkshire, England
来源：
PHYSICS LETTERS A | 2002年 / 300卷 / 06期
关键词：
D O I：
10.1016/S0375-9601(02)00892-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is shown that bound states in continuum can be generated by applying supersymmetric quantum mechanics to real potentials in such a way that the transformed potential becomes complex. Three cases of the initial potential are considered in more detail: flat potential, step potential and rectangular quantum well. The conditions are found for the existence of bound state in continuum in these cases, as well as the expressions for the wavefunction of this state and the corresponding complex potential in analytic form. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：595 / 602
页数：8
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